RT Journal Article
T1 Hodge structures of the moduli spaces of pairs.
A1 Muñoz, Vicente
AB Let X be a smooth projective curve of genus g >= 2 over C. Fix n >= 2, d epsilon Z. A pair (E, phi) over X consists of an algebraic vector bundle E of rank n and degree d over X and a section phi epsilon H(0)(E). There is a concept of stability for pairs which depends on a real parameter tau. Let M(T) (n, d) be the moduli space of tau-semistable pairs of rank n and degree d over X. Here we prove that the cohomology groups of M(T) (n, d) are Hodge structures isomorphic to direct summands of tensor products of the Hodge structure H(1)(X). This implies a similar result for the moduli spaces of stable vector bundles over X.
PB World Scientific
SN 0129-167X
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/42386
UL https://hdl.handle.net/20.500.14352/42386
LA eng
NO MEC
DS Docta Complutense
RD 28 abr 2025